Question: step by step help I do have a TI 84 calculator Suppose that a category of world class runners are known to run a marathon

step by step help

I do have a TI 84 calculator

Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of142minutes with a standard deviation of13minutes. Consider 49 of the races.

LetX

= the average of the 49 races.

  • Part (a)
  • Give the distribution ofX.
  • (Round your standard deviation to two decimal places.)

  • Part (b)
  • Find the probability that the average of the sample will be between139and143minutes in these 49 marathons. (Round your answer to four decimal places.)
  • Part (c)
  • Find the60thpercentile for the average of these 49 marathons. (Round your answer to two decimal places.) in minutes
  • Part (d)
  • Find the median of the average running times. in minutes

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